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<!DOCTYPE HTML> <html> <head> <meta http-equiv="content-type" content="text/html; charset=utf-8"> <title>CEMAT - Publication</title> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/4.0.0-beta.2/css/bootstrap.min.css" integrity="sha384-PsH8R72JQ3SOdhVi3uxftmaW6Vc51MKb0q5P2rRUpPvrszuE4W1povHYgTpBfshb" crossorigin="anonymous"> <link rel="stylesheet" type="text/css" href="css/cemat.css" media="screen"> </head> <body> <div id="header"> <a href="main.php"><img border="0" id="logo" name="logo" alt="CEMAT - Centro de Matem锟絫ica e Aplica锟斤拷es" src="imgs/logocemat.png" width="150" height="82"></a> <div id="header-links" class="d-none d-sm-block"> <a href="https://tecnico.ulisboa.pt" target="_blank"><img border="0" src="imgs/logoist.png" width="87" height="37"></a> <a href="https://ciencias.ulisboa.pt" target="_blank"><img border="0" src="imgs/Ciencias_Logo_Azul-01.png" width="86" height="35"></a> <a href="https://www.fct.pt" target="_blank"><img border="0" src="imgs/logo_fct20anos.png" style="margin-top:-3px;" width="185" height="49"></a> </div> <div id="lang-select"> <a href="?member_id=93&doc_id=1328&locale=pt">pt</a> | <a href="?member_id=93&doc_id=1328&locale=en">en</a> </div> </div> <nav class="navbar navbar-expand-lg navbar-dark bg-dark"><button aria-expanded="false" aria-label="Toggle navigation" aria-controls="navbarSupportedContent" class="navbar-toggler" data-toggle="collapse" data-target="#navbarSupportedContent"><span class="navbar-toggler-icon"> </span></button> <div id="navbarSupportedContent" class="collapse navbar-collapse"> <ul class="navbar-nav w-100 d-flex justify-content-around"> <!-- Home --> <li class="nav-item"><a data-menu="main" href="main.php#main" class="nav-link"><span>Home</span></a></li> <!-- Dropdown1 Areas --> <li class="nav-item dropdown"><a data-menu="area.p" href="#" aria-haspopup="true" aria-expanded="false" role="button" id="navbarDropdown1" class="nav-link dropdown-toggle" data-toggle="dropdown"><span>Research Areas</span></a> <div class="dropdown-menu rounded-0 py-0" aria-labelledby="navbarDropdown1"> <a href="area.php?section=algebra&member_id=16&project_id=7#area.p" class="dropdown-item">Algebra and Computing</a> <a href="area.php?section=applied&member_id=84&project_id=4#area.p" class="dropdown-item">Applied and Numerical Analysis</a> <a href="area.php?section=modeling&member_id=83&project_id=6#area.p" class="dropdown-item">Mathematical Modeling in Biomedicine</a> <a href="area.php?section=statistics&member_id=86&project_id=5#area.p" class="dropdown-item">Statistics and Stochastic Processes</a> </div></li> <!-- Dropdown2 Members --> <li class="nav-item"><a data-menu="members" href="members.php#members" class="nav-link"><span>Members</span></a></li> <!-- Dropdown3 Publications --> <li class="nav-item"><a data-menu="documents" href="documents.php#documents" class="nav-link"><span>Publications</span></a></li> <!-- Dropdown4 Events --> <li class="nav-item dropdown"><a data-menu="seminar" href="#" aria-haspopup="true" aria-expanded="false" role="button" id="navbarDropdown4" class="nav-link dropdown-toggle" data-toggle="dropdown"><span>Events</span></a> <div class="dropdown-menu rounded-0 py-0" aria-labelledby="navbarDropdown4"> <a href="seminars.php?event_type_id=15#seminar" class="dropdown-item">Applied and Numerical Analysis Seminar</a> <a href="seminars.php?event_type_id=16#seminar" class="dropdown-item">Probability and Statistics Seminar</a> <a href="seminars.php?event_type_id=1#seminar" class="dropdown-item">Algebra Seminars</a> <a href="seminars.php?event_type_id=17#seminar" class="dropdown-item">CEMAT's Open Seminar</a> <a href="seminars.php?event_type_id=6#seminar" class="dropdown-item">Scientific Meetings</a> <a href="seminars.php?event_type_id=5#seminar" class="dropdown-item">Courses</a> </div></li> <!-- Gallery --> <li class="nav-item"><a data-menu="projects" href="content.php?section=projects#projects" class="nav-link"><span>Projects</span></a> </li> <!-- Open Positions --> <li class="nav-item"><a data-menu="positions" href="content.php?section=positions#positions" class="nav-link"><span>Open Positions</span></a> </li> <!-- Contacts --> <li class="nav-item"><a data-menu="contacts" href="contacts.php#contacts" class="nav-link"><span>Contacts</span></a></li> </ul> </div> </nav> <div class="container"> <form method="post" name="document" action="document.php?member_id=93&doc_id=1328&ccsForm=document%3AEdit"> <h2><a href="#" onclick="window.history.back();">Publications</a> > Artigos em Revistas Internacionais</h2> <div class="header-bar"></div> <table class="contentTable" cellspacing="0"> <tr> <td> <h3>Adaptive ODE Solvers in Extended Kalman Filtering Algorithms</h3> <a href="member.php?member_id=93">Kulikova, Maria</a>; <a href="member.php?member_id=87">Kulikov, Gennady Yu</a> <br> <input type="hidden" value="2014" name="year"> <p>Journal of Computational and Applied Mathematics, 262 (2014), 205-216 <input type="hidden" value="262" name="pubissue"><input type="hidden" value="205-216" name="pubpage"><input type="hidden" value="Paper in International Scientific Journal with refereeing" name="type"><input type="hidden" value="3" name="status"><input type="hidden" value="1328" name="doc_id"><br> <a href="http://dx.doi.org/10.1016/j.cam.2013.09.064" target="_blank">http://dx.doi.org/10.1016/j.cam.2013.09.064</a> <br> <br> This paper studies numerical methods that are used to treat ordinary differential equations arising in extended Kalman filtering algorithms. Such problems are called the moment equations and constitute an important subclass of differential equations. They all possess a number of specific properties that make the standard available software ineffective for some mathematical models in this area. For instance, we show that built-in Matlab ODE solvers are not able to cope with a number of tests considered here. In contrast, the hybrid method developed by Mazzoni (2007) exhibits much better performance on the same examples. The latter means that specially designed numerical schemes are needed for efficient solution of the moment equations instead of the standard software designed for general systems of ordinary differential equations. </p> </td> </tr> </table> </td> </tr> </table> </form> <br> </div> <div id="foot"> <div class="container"> <div class="text-center"> <b>CEMAT</b> - Center for Computational and Stochastic Mathematics </div> <div id="foot-bar"></div> <div class="text-center"> <a href="http://www.ist.utl.pt/" target="_blank">Instituto Superior Têcnico</a><br> <a href="http://www.fc.ul.pt/" target="_blank">Faculdade de Ciências</a><br> <a href="http://www.ul.pt/" target="_blank">Universidade de Lisboa</a><br> </div> </div> </div> <script src="./js/jquery-3.2.1.slim.min.js" integrity="sha384-KJ3o2DKtIkvYIK3UENzmM7KCkRr/rE9/Qpg6aAZGJwFDMVNA/GpGFF93hXpG5KkN" crossorigin="anonymous" ccs_src="./js/jquery-3.2.1.slim.min.js"></script> <script src="https://cdnjs.cloudflare.com/ajax/libs/popper.js/1.12.3/umd/popper.min.js" integrity="sha384-vFJXuSJphROIrBnz7yo7oB41mKfc8JzQZiCq4NCceLEaO4IHwicKwpJf9c9IpFgh" crossorigin="anonymous" ccs_src="https://cdnjs.cloudflare.com/ajax/libs/popper.js/1.12.3/umd/popper.min.js"></script> <script src="https://maxcdn.bootstrapcdn.com/bootstrap/4.0.0-beta.2/js/bootstrap.min.js" integrity="sha384-alpBpkh1PFOepccYVYDB4do5UnbKysX5WZXm3XxPqe5iKTfUKjNkCk9SaVuEZflJ" crossorigin="anonymous" ccs_src="https://maxcdn.bootstrapcdn.com/bootstrap/4.0.0-beta.2/js/bootstrap.min.js"></script> <script src="./js/cemat.js"></script> </body> </html>